Let \(k\) be a positive real number and let \(\begin{aligned} A & =\left[\begin{array}{ccc}2 k-1 & 2 \sqrt{k} & 2 \sqrt{k} \\ 2 \sqrt{k} & 1 & -2 k \\ -2 \sqrt{k} & 2 k & -1\end{array}\right] \text { and } \\ B & =\left[\begin{array}{ccc}0 & 2 k-1 & \sqrt{k} \\ 1-2 k & 0 & 2 \sqrt{k} \\ -\sqrt{k} & -2 \sqrt{k} & 0\end{array}\right]\end{aligned}\)
If \(\operatorname{det}(\operatorname{adj} A)+\operatorname{det}(\operatorname{adj} B)=10^6\), then \([k]\) is equal to
[Note : adj \(M\) denotes the adjoint of a square matrix \(M\) and \([k]\) denotes the largest integer less than or equal to \(k\) ].

1. A 10
2. B 15
3. C 4
4. D 9